Find the volume of the triangular pyramid to the nearest whole number if the height is 17 and length/ width is 14 and 8
The volume of a triangular pyramid is given by the formula V = (1/3) * (base area) * height.
First, we need to find the base area of the pyramid. Since the base is a triangle, we can use the formula for the area of a triangle: base * height / 2.
For the length of the base, we will use 14 as the base.
Base area = 14 * 8 / 2 = 56
Now we can calculate the volume of the triangular pyramid:
V = (1/3) * 56 * 17
V = (1/3) * 952
V = 317.33
Therefore, the volume of the triangular pyramid is approximately 317 cubic units.